Perforating gun assembly for use in multi-stage stimulation operations

A perforating gun assembly for use in perforating multiple intervals of at least one subterranean formation intersected by a cased wellbore and in treating the multiple intervals using a diversion agent, such as ball sealers. In one embodiment, the apparatus of the present invention comprises a perforating assembly having a plurality of select-fire perforating devices interconnected by connector subs, with each of the perforating devices having multiple perforating charges. The apparatus also includes at least one decentralizer, attached to at least one of the perforating devices, which is adapted to eccentrically position the perforating assembly within the cased wellbore so as to create sufficient ball sealer clearance between the perforating assembly and the inner wall of the cased wellbore to permit passage of at least one ball sealer.